Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190y |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-994908657600 = -1 · 26 · 33 · 52 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-729,-48644] |
[a1,a2,a3,a4,a6] |
Generators |
[98:-957:1] |
Generators of the group modulo torsion |
j |
-24137569/561600 |
j-invariant |
L |
4.0177114912786 |
L(r)(E,1)/r! |
Ω |
0.38006567058638 |
Real period |
R |
0.88092484234223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
390c1 |
Quadratic twists by: -11 |